Chapter 8.3 Special topics on space groups

Space-group symmetry

First Online Edition (2006)

Part 8. Introduction to space-group symmetry

  1. H. Wondratschek

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000516

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Wondratschek, H. 2006. Special topics on space groups. International Tables for Crystallography. A:8:8.3:732–740.

Author Information

  1. Institut für Kristallographie, Universität, D-76128 Karlsruhe, Germany

Publication History

  1. Published Online: 1 JAN 2006


Part 8 provides the theoretical background to the data in the tables and diagrams of Volume A. Chapter 8.3 is devoted to special topics on space groups. The reader finds sections on the conventional crystallographic coordinate systems, on crystallographic point orbits and their distribution into Wyckoff positions according to their site symmetries, on sub- and supergroups of space groups, on the space-group generators used in Volume A and on normalizers of space groups.


  • space groups;
  • coordinate systems;
  • Wyckoff positions;
  • site symmetry;
  • crystallographic orbits;
  • normalizers;
  • Wyckoff sets;
  • subgroups;
  • supergroups;
  • maximal subgroups;
  • minimal supergroups;
  • klassengleiche subgroups;
  • translationengleiche subgroups;
  • space-group types;
  • generators